Google added 6 new Math Solver Problem Types in Rich Results to its support documentation.
Following are The Six New Types Added by Google:
- Arithmetic
- Eigenvalue
- Eigenvector
- Limit
- Statistics
- System of equations
Recommendation
Now, There are total of 49 problem support types in math problem solver markup.
Here is the full list mentioned below by Google:
| Example problem types (this isn’t an exhaustive list) | |
|---|---|
Absolute Value Equation |
Absolute value equations. For example: |x – 5| = 9 |
Algebra |
A generic problem type that can be placed with other problem type. For example: polynomial equations, exponential equations, and radical expressions. |
Arc Length |
Arc length problems. For example: Determine the length of x = 4 (3 + y)^2, 1 < y < 4. |
Arithmetic |
Arithmetic problems. For example: Find the sum of 5 + 7. |
Biquadratic Equation |
Biquadratic equations. For example: x^4 – x^2 – 2 = 0. |
Calculus |
A generic problem type that can be placed with other problem types. For example: integrals, derivatives, and differential equations. |
Characteristic Polynomial |
Find the characteristic polynomial of {{1,2,5}, {3,-1,1}, {1,2,3}}. |
Circle |
Circle related problems. For example: Find the radius of x^2 + y^2 = 3. |
Derivative |
Derivative of 5x^4 + 2x^3 + 4x – 2. |
Differential Equation |
Differential equation problems. For example: y+dy/dx=5x. |
Distance |
Distance problems. For example: Find the distance between (6,-1) and (-3,2). |
Eigenvalue |
Eigenvalue problems. For example: Find the eigenvalues for the matrix [[-6, 3], [4, 5]]. |
Eigenvector |
Eigenvector problems. For example: Find the eigenvector for the matrix [[-6, 3], [4, 5]] with eigenvalues of [-7, 6]. |
Ellipse |
Ellipse problems. For example: Find the x and y intercepts of 9x^2 + 4y^2 = 36. |
Exponential Equation |
Exponential equations. For example: 7^x = 9. |
Function |
Polynomial simplifications. For example: (x-5)^2 * (x+5)^2. |
Function Composition |
f(g(x)) when f(x)=x^2-2x, g(x)=2x-2 |
Geometry |
A generic problem type that can be placed with other problem types. For example: circle, ellipse, parabola, slope. |
Hyperbola |
Hyperbola problems. For example: Find the x-intercept of (x^2)/4 – (y^2)/5 = 1. |
Inflection Point |
Find the inflection point of f(x) = 1/2x^4 +x^3 – 6x^2. |
Integral |
Integral of sqrt (x^2 – y^2). |
Intercept |
Line intercept problems. For example: Find the x-intercept of the line y = 10x – 5. |
Limit |
Limit problems. For example: Find the limit of x as x approaches 1 for (x^2-1)/(x-1). |
Line Equation |
Line equation problems. For example: Find the equation of a line with points (-7,-4) and (-2,-6). |
Linear Algebra |
A generic problem type that can be placed with other problem types. For example: matrix and characteristic polynomial. |
Linear Equation |
Linear equations. For example: 4x – 3 = 2x + 9. |
Linear Inequality |
Linear inequalities. For example: 5x – 6 > 3x – 8. |
Logarithmic Equation |
Logarithmic equations. For example: log(x) = log(100). |
Logarithmic Inequality |
Logarithmic inequalities. For example: log(x) > log(100). |
Matrix |
{{1,2,5}, {3,-1,1}, {1,2,3}} row reduce |
Midpoint |
Midpoint problems. For example: find the midpoint between (-3, 7) and (5, -2). |
Parabola |
Parabola problems. For example: Find the vertex of y2 – 4x – 4y = 0. |
Parallel |
Parallel line problems. For example: Are the two lines parallel (y = 10x + 5, y = 20x + 10)? |
Perpendicular |
Perpendicular problems. For example: Are the two lines perpendicular (y = 10x + 5, y = 20x + 10)? |
Polynomial Equation |
Polynomial equations. For example: x^5 – 3x = 0. |
Polynomial Expression |
Polynomial expressions. For example: (x – 5)^4 * (x + 5)^2. |
Polynomial Inequality |
Polynomial inequalities. For example: x^4 – x^2 – 6 > x^3 – 3x^2. |
Quadratic Equation |
Quadratic equations. For example: x^2 – 3x – 4 = 0. |
Quadratic Expression |
Quadratic expressions. For example: x^2 – 3x – 2. |
Quadratic Inequality |
Quadratic inequalities. For example: x^2 – x – 6 > x^2 – 3x. |
Radical Equation |
Radical equations. For example: sqrt(x) – x = 0. |
Radical Inequality |
Radical inequalities. For example: sqrt(x) – x > 0. |
Rational Equation |
Rational equations. For example: 5/(x – 3) = 2/(x – 1). |
Rational Expression |
Rational expressions. For example: 1/(x^3 + 4x^2 + 5x + 2). |
Rational Inequality |
Rational inequalities. For example: 5/(x – 3) > 2/(x – 1). |
Slope |
Slope problems. For example: Find the slope of y = 10x + 5. |
Statistics |
Statistics problems. For example: Find the mean of a set of numbers (3, 8, 2, 10). |
System of Equations |
System of equations problems. For example: Solve 2x + 5y = 16 and 3x – 5y = – 1. |
Trigonometry |
Solve sin(t) + cos(t) = 1. |
You can check full list of the same here
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